Prime p₀= 1172676117821808557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: xii5ku
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1172674558942627967	0 2 20 36 66 72 122 156 176 210 260 266 296 312 330 332	-1558879180590
STPT(10)	1172675164561827107	0 2 30 32 42 44 54 56 84 86	-953259981450
SPT(16)	1172675252961584821	0 16 18 22 28 60 78 82 126 130 148 180 186 190 192 208	-864860223736
STPT(10)	1172675793484400081	0 2 30 32 60 62 90 92 120 122	-324337408476
SPT(16)	1172675903637247649	0 2 12 30 54 72 80 98 204 222 230 248 272 290 300 302	-214184560908
SPT(16)	1172676047642072087	0 14 20 72 102 122 126 204 212 290 294 314 344 396 402 416	-70179736470
SPT(16)	1172676387239319569	0 14 38 50 62 78 102 120 122 140 164 180 192 204 228 242	269417511012
STPT(10)	1172676451478182109	0 2 18 20 30 32 42 44 60 62	333656373552
STPT(10)	1172676474733592999	0 2 42 44 60 62 78 80 120 122	356911784442
SPT(16)	1172676476984087791	0 16 22 30 42 52 60 66 112 118 126 136 148 156 162 178	359162279234
SPT(16)	1172676504465508157	0 56 120 140 192 224 264 276 320 332 372 404 456 476 540 596	386643699600